I like Kate's answer. If you have a Marshalls or TJMaxx by you, check out the back area and clearance area. They have very inexpensive baskets and items to go inside - it's my go to place for reasonable gifts that look like they are more because of the thought that goes behind it. Here are a few I have done for around $25 each that are perfect for a new home all put together in a few mins from Marshalls or TJMaxx:
- Basket with a red/white dish towel inside to line it, add pasta, pasta sauce, and a few utensils sticking out the top I did garlic press and spaghetti server you can even add pot holders and then a fresh loaf of bread and a nice ribbon tied to the handle. Also works nice with soup mixes and soup bowls - it's great for a new homeowner who doesn't have time to worry about dinner it's all in the basket!
- Basket with dish towel liner in blue/yellow color of my friend kitchen - pancake mix, maple syrup, glass syrup container, spatula and frying pan
Basket with dish towel, hot chocolate, two mugs, mini marshmellow, pretty pack of cookies, hot apple cider, cinnomon stick, fancy coffee or teas etc. I attached a little note that said it was for "some quite downtime to relax" this was for a teacher gift. I have also done soaps, scrubbers, utensils for kitchen or bath.
Or do the traditional housewarming gift I think it is supposed to include bread for good health and salt was for long life, then maybe candles etc.
Hope that helps! As you can tell I am big on gift giving; especially baskets I make up myself with cool items you can put together to make a theme for under $25 ;-) Oh and I never use that basket wrap - I love the look of the basket with just a dish or handtowel and a pretty ribbon - I think the wrap is for delivered items from businesses.