I suppose i did "homeschool" preschool for my two kids until they went to kindergarten in public school but no formal curriuculum whatsoever. I just did all the fun things i knew as a former preschool teacher were good for kids developmentally. Like other posters said, talk to child all day to foster language and vocabulary development.
READ, READ, READ & not just at bedtime. I would take 10 minutes (0r longer as they were able to sit longer) here and there throughout the day and read books and talk about the illustrations. Song books, books with rhyme, and books with predictable patterns like "Brown Bear, Brown Bear" by Eric Carle are great at that age. You don't need a curriculum to teach colors--just comment on them/ tell her about colors all day--no need to quiz her on them. Just casual comments like--"you have the yellow ball" "That baby doll has a pink shirt", etc. will help child learn colors. The same thing for shapes--talking about and noticing them in the world and in books is meaningful rather than in workbooks.
You can teach counting in meaningful contexts too--throughout the day through play "oh you have 3 blocks, 1, 2, 3" or when reading books--"let's count the bears"
I avoided TV for the most part in the toddler years but Sesame Street and Mister Rogers are great. I never let the TV be background noise though. If we were going to watch, we watched. If kids weren't watching i just shut it off and put on kids music or classical music.
Fine motor skills (necessary for writing later) can be developed through things like cutting with scissors on a piece of paper. Tearing a piece of paper into small bits is good exercise--i've often later then had them glue these bits on a sheet as a collage. Manipulative Toys like legos (duplos or
lego explore for kids under 3) are great for small motor development too. Playdoh is good for motor development as well as language if you talk to them about what they're doing. I had some old scissors in with the playdoh stuff. It's a fun way to get down the scissor motion before they're able to do it easily with paper. There are MANY recipes for playdoh with a flour & salt based one being the simplest and very safe for eating though i wouldn't recommend it! Playdoh brand is non-toxic.
Daily experiences with crayons, markers, or paints are important for fine motor skills as well as creative/artistic development. Water colors are easy and ususually not too messy. Tempera paints are more messy but good for making prints like dipping different items (sponges, pincones, apple halves, endless possibilities) in paint and pressing/printing on paper.
Don't forget finger painting when you can brave it. With older kids, I use a fragrance-free or "sensitive skin" shaving cream on a table top or tray to practice writing spelling words in with a finger. For younger kids, its just fun to play and draw in it.
Practicing pouring and just playing in water is a sure hit. Collect containers of various sizes, plastic bottles, funnels, cups, measuring spoons, etc. and use in a kiddie pool or bathtub.
We spent alot of time with toddlers (and still do) at library storytimes, playgroups, playareas at mall, playgrounds, zoo, etc. Puppets, dress-up things & props for role-playing, blocks, and a kitchen set (little stove/fridge, dishes) are usually big hits ages 2-5.
Oh-how i wish a could relive a few of those toddler age days. Enjoy them!