If you want to do typing work from home have you considered being a virtual assistant? If you have never heard of the term virtual assistant or VA it basically means that you provide various office based services from home for other businesses.
This is quite broad an area but you can provide services based on the skills that you have. Most of this type of work is typing based so it may involve anything from typing invoices or quotes to creating presentations. You work from home and you will usually have several clients who will contact you when they need some work done. The amount of work you do obviously depends on your client base, the more customers the busier you will be. Some clients may only require you to do a few hours a week whilst others may require many more hours a day.
Due to the popularity of this type of work, particularly with mums and the demand for small business people for VA's you can now find many virtual assistant jobs listed on the internet. There are agencies who match up workers with potential clients, some sites are pretty informal where you can leave details about yourself for clients to contact you directly, others ask for you to submit your CV.
The more formal agencies will work more like a traditional job agency. They will take their list of virtual assistants and put your details to the businesses that best suit both you and the client. Some agencies and sites that provide a similar matching service will do so at no cost whilst others may charge a fee to list you on their site.
As for the equipment you will need, you will probably have most of it already. A computer with a broadband internet connection is a must and you will probably need a printer and a scanner. Most contact will be done on the computer but there may be times that you will need to speak to clients over the phone. You should not need a dedicated phone line for this unless your phone is in use quite a bit then it may be worth investing in a second line.