Beside 「擠」,「躉」and「擺」can also be used,
in most case, storing large or bulky tools should use the term 躉 ; anything that you can pick up with one hand should use 擠 or 擺，
"shed " usually mean 木棚 or 竹棚，to indicate it is a roofed structure, the term would be 「棚屋」
The Chinese translation of the commercially available "outdoor storage shed" is 「儲物房」
「放 」is not a wrong choice if you just use it as a verb, it basically mean " to place"
「我地放工具嗰間棚屋」( the shed that we placed our tools in)
「我地放工具嗰個儲物房」( the storage shed that we placed our tools in)
in most case, storing large or bulky tools should use the term 躉 ; anything that you can pick up with one hand should use 擠 or 擺，
"shed " usually mean 木棚 or 竹棚，to indicate it is a roofed structure, the term would be 「棚屋」
The Chinese translation of the commercially available "outdoor storage shed" is 「儲物房」
「放 」is not a wrong choice if you just use it as a verb, it basically mean " to place"
「我地放工具嗰間棚屋」( the shed that we placed our tools in)
「我地放工具嗰個儲物房」( the storage shed that we placed our tools in)