A replaced hip likes movement. Walking, cycling, swimming and similar low-impact activity are excellent for it - and for you - for the years ahead.
Keep some strength work in your week even after the program ends: strong hip, buttock and thigh muscles keep stairs, chairs and hills easy and help your balance.
High-impact sport (running, jumping, contact sport) is a conversation to have with your surgeon or clinician - advice differs from person to person. The same goes for any long-term movement advice you were given.
Keep your follow-up appointments with your surgical team. A healthy body weight is one of the most effective things you can do for the comfort and lifespan of the new joint.