I assume you want to train the Ranged skill. You can train just about anywhere where there are creatures with which you can combat, but remember the combat triangle. In this case, ranged has an advantage over magic, so it is to your advantage to shoot against mages.
There isn't an Archery Store in Lumbridge.
In the same place they are obtained, the Ranging Guild.
Training it on Elementals Outside Falador
train your three combat skills: attack, strength and defence. A few guides which tell you Runescape tips such as: where to train, what level you have to be to train there and how to get there are: Sals realm of Runescape and global Runescape. I hope i helped!
TRAIN
Train.
you train it
Train skills.
You train you skills.
Make things.
Train your skills.
A good way to train combat in Runescape is to go to Soul wars. whats the best thing if im nonmembers