Yup, if your doing indoor shots it ain't gunna be easy if your on a budget!
As above a 50mm 1.8 is what's great on a budget! If you got slightly more you can get a 50mm f1.4 for about £150.
Getting a zoom lens that works well indoors on a budget is never going to be easy, so the 50mm is the best bet, just sit a little closer
As for outdoors, your choices broaden out a lot more due to the good light, but as this topic is about indoor use we will leave that out