Seeking a good quality, lightweight frame-mount pump (with HOSE) that can easily be swapped over to different bikes.
Tire size/psi range: 650b x 2.1/85lbs to 700c x 28mm/120lbs

Thanks in advance!

Any of 'em. You just need multiple bottle cage mounts.

I have a Topeak Race Rocket HP and a Blackburn Core Slim. Both are good. Both have hoses. The Blackborn Core Slim is Presta only; the Topeak Race Rocket is convertible.

The Topeak RaceRocket is so small you could just tuck it in a jersey pocket and not worry about extra frame mounts. The soft grippy rubber handle will help prevent it from slipping out. It'll even fit inside a medium sized seat bag.

If you have a bike with a fairly standard triangle-style frame you can use a 'full size' frame-mount pump that does not require an additional mount using the bottle cage locations. The pump simply fits under the top tube and holds itself in place by compression of the pump spring. $25 and can be found here:

Zefal HPX Classic Alu Pump Chain Reaction Cycles sRKoGY80m_dc pcrid 253650156390 pkw pmt prd 460587US

I have one mini LeZeyne high pressure and one mini LeZeyne high volume pump on two different bikes. They are light and look good - but plan on pumping them 200 to 300 times to inflate a tire. The full-size pump weighs a bit more, but also pushes more air.

Frame fit , if the frames are similar sized..

If you want to get your tires up to 100-120psi, the topeak road morph. Has hose, put the end of the pump on the ground and push down. Though annoyingly you have to call Topeak to separately order the beside-the-water-bottle-cage-mount.
If you prioritize a smaller size and only need to get to 60psi, the topeak road morph mini is similar but smaller.
If lightest weight (but with a hose) is your priority the Lezyne Carbon Road Drive. Has a hose, but you pump it entirely by hand, no way to put the end on the ground and push down.

I personally typically go with topeak road morph mini because:
- I leave a pump on each bike as I've learned not to leave needed emergency equipment to chance via remembering to bring it
- Related, it's $30/pump on amazon, cheap to buy one for each bike
- It's small enough to fit in my trunk bag for my commuter that I don't leave anything stealable on while it's locked up
- 60psi is enough to finish a ride
- It's a lot easier to pump up a tire when you can put one of the pump on the ground and push down, with my lacking upper body strength

Topeak Morph. Extra mounts are available from a number of different places.

Here's the Road Morph. I don't use it much, but nice to have it along, and it doesn't spoil the looks of the bike. I think it comes in silver too.

Topeak Road Morph.

Huh, never seen one that wasn't silver!

I'd like to find a side-mount holder like that one above for my Road Morph G. The ones I've tried have all been too large for the pump. I can rig something with extra velcro, but it's ugly and the pump still moves around a little bit in the holders I've tried.

The pump itself is fine, however.

Another vote for the Road Morph. You can get multiple mounts and have them on all your bikes very easily!

If you look close see that I wrapped my pump (the black one above) with electrical tape to increase the pump diameter for better fit. It must have slipped down a little in the picture, the tape should be where the bracket is.

Oh, that's great! Thanks for pointing that out. That idea never occurred to me, but it's a great example of the tips and tricks that can be learned here. Thank you.

I rode a 50-mile event two weeks ago and didn't want to go with just one water bottle, so I rigged my Road Morph G on the top tube. It worked fine, but looked ugly, and we can't have that!