Hi,
You seem to be a very pro-active individual which you should be proud of!
Basically any exercises which can help to maintain your range of movement (both flexion AND extension, as much as you can) and strengthen your muscles around the knees without causing you lots of pain/inflammation are what is suggested as a pre-op exercise plan. Particularly, strengthening the knees (both of them!) is really helpful.
Other exercises you could consider may be available from a physio if you get referred to them pre-op - it really depends on how things are done where you live to be honest.
Remember when you do eventually have the op you'll be on crutches for some time, and putting a lot of demands through the "good" leg, so it is important to treat it nicely and build up the strength in that leg!
When you're doing the squats a variation to help strengthen the VMO (a muscle which quite often gets weak) is to have a ball between your knees. This helps you focus on the inner thigh muscles.
You may want to consider doing some upper arm exercise as well, believe me it takes a lot of strength using crutches to get around! Also don't forget your general health (which by the sounds of it is pretty good anyways) as for any surgery.
Well done on your approach thus far, I hope you continue to do well! Please let us know how you're getting along.
Ruth Cheesley BSc(Hons) MSc MCSP
Chartered Physiotherapist