I am a big fan of Shearwater, and I am also a fan of rechargeable computers, like the Peregrine.
BUT, yours is the type of situation where I would actually steer you away from that.
Rechargeable computers need to be used somewhat often, or you have to pay attention to them between dive trips. Rechargeable batteries (in general, not just dive computers) don't like to sit for too long without having their charge topped up. If they sit too long and the charge drops too low, the battery can be permanently damaged.
For people who don't dive that often - as I would consider 2 - 3 times/trips per year - a rechargeable may not be the best choice. If you will be diligent about checking it every month or two and topping up the charge when it gets low (and ONLY when it's getting low), then it should be fine for you, but WILL you be that diligent?
For someone who doesn't dive that often, I generally recommend to have a look at the Oceanic Geo. It's a solid computer. It's not too expensive. It uses a normal watch (coin-style) battery that requires no maintenance other than changing it every now and then (every year or two?). And, it offers the DSAT algorithm, which is probably the most liberal algortihm available in a modern dive computer. It will generally give you longer NDLs than other computers (like a Zoop). But, it also allows you to adjust the Conservatism to make it more conservative if you wish.
If you are concerned with readability and want a bigger, brighter, easier to read display, then I would point you at the Shearwater Perdix. But, that is even more expensive than a Peregrine. It uses a standard AA battery, so it doesn't have the concerns that a built-in rechargeable (like the Peregrine) does. Use photo litihium AA batteries in it and take the battery out between dive trips (just for absolute maximum safety) and you'll never have a problem with it.
The expense of a Perdix probably doesn't make sense for someone that does 2 or 3 recreational trips a year... unless you want or need it for the screen size and readability.