I'd like to increase the partition size, but don't want to risk losing either OS.
If the "not losing your OS (or data)" is dear to you, then start with at least making a backup. Or simpler:
Buy a bigger SSD (if that works) or HDD (if your old laptop does not support SSD's)
The prices of such hardware is so low that it is silly to consider another option.
My data is worth much more than all my PC hardware together. My data is irreplaceable, while PC hardware is easily replaceable commodity stuff.
Here in the Netherlands there are lots of shops who sell second hand PC hardware from office equipment for low prices.
You can get a new 1TB 2.5" HDD for EUR50, or a second hand 500GB for EUR20.
Old PC's tend to have 120GB or smaller. If you buy a bigger disk, you can clone the old one to the new one, and then keep on using the old one as a backup. That way you have both more room and a decent backup for a modest price.
Also, I would not think twice about loosing the Ubutu OS. Re-installing fresh is 5 minutes of work and may 15 minutes of coffee drinking if your pc is slow. You can use dpkg to create a list of installed packages (and then re-install them) but in my experience it's better to simply make a list of programs you like, and then only re install those. It takes more time, but it sheds off a lot of accumulated crud.