I have no experience growing lemons outdoors but I have grown lemons indoors in pots for several years. One Meyer lemon I have had for over 12 years. In fact when moving from Utah to Alaska I pruned it back to fit in a Priority Mail box for my sister to hold until I arrived. I did the same when moving out of Alaska three years later. I later purchased a second Meyer lemon as well as a navel orange, pink grapefruit, and key lime. Citrus trees are attractive houseplants with lovely scented flowers and delicious fruit.
My first lemon was purchased from a local nursery. My second was purchased from a big box store. My last citrus was purchased online. So, it is not that difficult to find citrus plants. As with other plants do some research and shop around for the variety you want at a good price. Check the condition of the plant if purchasing in person. If buying by mailorder/internet purchase from a reputable company.
My lemon trees were transplanted into a larger pot right away using a good quality potting soil. Only increase pot size by 2″ diameter when transplanting. In the summer I move them outdoors in a full sun to partial shade spot. It is important to help your plants adjust to a change in sunlight. If your plant is in bright light indoors it may be able to handle full sun outdoors. To be safe slowly acclimate it to the amount of sunlight it will be receiving outdoors by placing it in a bit more sun each day or moving it into the amount it will be receiving for short periods each day. After about one week or so it should be adjusted and can be placed in its summer location. Reverse the process when moving it back indoors.
Before moving back inside for the winter I prune, fertilize (fish emulsion and liquid kelp), add some compost and then spray with horticultural oil to help prevent pest problems.
Citrus do not need to be hand pollinated. If they experience some change such as transplanting citrus may drop their fruit.