Not your regular bunny hop
It takes some commitment to land to front wheel.
As for any bunny hop, just cruise at a good pace to approach the obstacle. Crouch suddenly over the bike to compress both tyres and lean back to focus the compression on the rear tyre.It is really scary and feels counter intuitive at first, but reaching that edge with your front tyre is key. Right after take-off, actively aim your front wheel right at the obstacle's edge instead of trying to throw the rear wheel up at it.
Bunny hop to front wheel
1° As for any bunny hop, spring up in extension as explosively as you can after a compression phase, lifting the front wheel up.
2° During take-off, actively aim your front wheel at the upper edge of the obstacle you want to climb onto, surging forward.
3° In mid-air, push the front wheel down in front of you to squash the front tyre onto the edge, brakes fully locked.
4° Upon impact, stay supple, flex your knees to bring your hips closer to the stem and lean your torso over the front wheel.
5° Once the rear wheel is high up, unlock the front brake and perform a brisk wheel swap, pushing the handlebars in front of you.
6° Terminate the wheel swap swinging the bike beneath you to land your rear wheel in place of the front wheel, ready for your next move.
Mental game
Tuck your knees to bring your hips closer to the stem.
This is a very different way to finish the move compared to a regular bunny hop to back wheel where you would just pull the rear wheel up, stretching your arms up. Instead, you should focus on transferring your weight over the front wheel as it hits the obstacle.
Combo with a 180° or 360° nose pick
Eject yourself from the nose-pick with spinning momentum.
An interesting variant of the bunny hop to front wheel is to carve a 45° turn as you take-off (typically to your back foot side) to land your front wheel at about 120° on top of the obstacle. If you follow the handlebars with your shoulders and regroup well-enough over the front wheel as you land, you can use your rotational inertial to spin further your front tyre over the obstacle.
With a 180° or 360° nose pick
1° Start like for a 180° bunny hop, throwing your shoulders into the turn during your extension but also leaning sideways toward the obstacle.
2° Since you want to land to front wheel, actively track your landing target, aiming your front wheel at the obstacle, at an angle.
3° Push the front wheel down and lock the front brake to hit the obstacle at about 90°, flex your knees upon impact to regroup over the handlebars.
4° Use the obstacle's support to further pivot on the front wheel and gain extra spinning momentum before dropping off onto the other side.
5° Like for a 360° nose drop, perform a firm push-up to eject yourself with extra spinning momentum and force the bike into rotation.
6° As the rear wheel touches down, hold tight to complete the turn without being thrown out of balance, and ride away.
Bunny hop to G-turn
If there is room for it, another exit strategy for the 180° variant of the bunny hop to front wheel is to complete a G-turn,
since you can practically land to a fakie nose-wheelie. The only difference being that you perform the first 90° of the G-turn during
take-off instead of launching a rolling stoppie in a turn.
You must hit the front wheel at about 90° or more onto the obstacle so you can regroup over the front hub as you keep turning,
before releasing the front brake and pushing the front wheel down to force it into a fakie nose wheelie.
In order to make this work, you'll have to really lean into the turn as you take-off, approaching the obstacle at 45°.
The difficult part is to regroup yourself over the stem as the bike's frame swings from the side to a more vertical position,
spinning to the back.
You want to hold your balance over the front wheel long enough and carry on spinning until you can switch to a fakie nose wheelie
(with your front wheel engaging into a reversal).
At this point, if you are familiar with fakie nose wheelies, then you'll feel when you reach the switch point.
Let the front brake loose to engage in reversal and try to hold your balance for as long as possible going fakie before hopping off it.
Bunny hop to G-turn
1° Approach at 45°, throwing your shoulders into a sharp turn during your extension but also leaning sideways toward the obstacle.
2° Since you want to land to front wheel, actively track your landing target, aiming your front wheel at the obstacle, at an angle.
3° Push the front wheel down and lock it sideways at about 90° or more onto the obstacle.
4° Flex your knees upon impact to regroup over the stem and pivot on the front wheel.
5° Use your spinning momentum to swing the rear wheel up until you can switch to reversal.
6° Let the front brake loose and push down the handlebars to engage the fakie nose wheelie.