@lizdon ,
Welcome to BoneSmart, glad you joined us!
Your limp will go away as your hip heals. I agree with FCBayern, using an assistive device will decrease your limp and help you learn good gait habits.
If you like you can do some standing hip abduction exercises to help strengthen your hip muscles. Stand at your counter for support, and raise your leg out to the side. Start with 5 to 10 x, one set, increasing reps to 10 and sets to 3 as you gain strength. Do both legs, sometimes the opposite hip can be the source of your limp.
You will notice I have added you to the February Valentines where you will find other members who had surgery the same time as you, and have added your surgery date to your signature.
BIG TIP: Hips actually don't need any exercise to get better. They do a pretty good job of it all on their own if given half a chance. Trouble is, people don't give them a chance and end up with all sorts of aches and pains and sore spots. All they need is the best therapy which is walking and even then not to excess.
We try to keep the forum a positive and safe place for our members to talk about their questions or concerns and to report successes with their joint replacement surgery.