Have you thought of just going to playgroup for now? Social play is important at 3yrs.

Here's some info I have collated for work, HTH!

Social and emotional
Three year olds often enjoy being with other children and can now play together more.
They are learning that other people are real and have real feelings.
They may still have fears of noises, the dark, animals, monsters and so on.
Three year olds are developing a sense of humour, and like to laugh at and repeat silly words and situations.
They may still need a comforter (such as a dummy or favourite blanket) when tired or away from home.
They can have very stereotyped ideas of what 'boys' and 'girls' are supposed to be like.
They are starting to take responsibility for their own toileting, but may have accidents during the day and be wet at night.

Developing understanding
Their own inner world is very powerful for your three to four year old. Sometimes it is difficult for them to distinguish 'real' from 'pretend'. They are not lying on purpose.
Characteristics include:
They show some understanding of time and understand that night follows day.
They now understand that parents can't read minds.
By the age of four, they can probably draw a person.
They still don't really understand things like height and size.

Physical development
In this year, children delight in physical activity, and parental supervision is important. Characteristics include:
They are not very good at pacing themselves, and will get tired and cranky if not offered enough quiet activities.
Three year olds can roll and bounce a ball, but catching is still difficult.
By four years, a child can hold a pencil correctly.
During this year, they will learn to cut with scissors.

Language
Three year olds are now talking in simple sentences, but they often stutter and stumble over their words. Be patient.
Characteristics include:
Some three year olds speak very clearly, while others still use some 'baby talk'.
The average three and a half year old knows more than 1,200 words.
Three year olds ask questions beginning with 'what', 'who', 'where' and 'why'.
They can talk about yesterday and tomorrow.

Suggested activities
Suggestions on encouraging and supporting your child's development include:
Allow plenty of physical activities.
Provide simple games with rules so your child can learn the basis of cooperative play.
Provide music, songs, picture and storybooks, and plenty of opportunities for drawing and painting.
Children may enjoy appropriate television programs and videotapes.
Give them lots of love, fun, approval and encouragement.