How do you girls get rid of the hair down there? I suppose laser is probably my best bet but it's not really financially feasible. I have shaved it in the past, but it's really tedious and doesn't last very long (and I always get a rash afterward). I'm considering trying a depilatory cream but have heard that they don't work that great. 

There's tons of resources out there for both trans and cis women when it comes to hair removal.  Personally I seem to suck at shaving my legs, as time progresses I'll probably opt for waxing or something like that.  Hair removal creams are an option, but even they warn you that they may not work on all hair types.  As much as it may suck, I will tell you that I've had the best success with the men's hair removal products - at least for now that's the hair we have, no sense in attacking it with something not designed for it. 

I use a Epilator and a razer.
But now that I am on hrt the hairs are getting finer.
Still do get a few infected hairs but nothing like I use to.

I've had pretty good results from just shaving (other than my facial hair), although it does take a while and doesn't last long. What I need is to find an effective way of doing my back.  Right now I use a self-made handle with a safety razor, but I have a hard time getting the clean shave I want that way.  My wife helps when she can, but she is frequently not available when I need to shower/shave. *sigh*

I got my face, boobs and tummy lasered, the rest I get waxed.

All the methods mentioned are effective ways to remove the hair down there, it comes down to how much you can afford, the time it takes to properly carry out each method, and how much time you have.  Up until very recently I've had those areas waxed for years, now alas the budget has taken a hit so I've been shaving.  It's a pain, it takes time and it doesn't last long, but heck it goes with the territory girl.  Oh and if you try the depilatory creams designed for the bikini line just be careful where you apply it; it can be very painful.

Here is an excellent video on waxing down there.  It may sway your choice...