Suitable Squirrel Enclosure for Short Term and for Transport

Hi Guy, I'm helping transport a little one to a rehabber. This might be an ongoing thing so thought I'd a buy some type of enclosure that could work for indoor housing as well as for transport. Should I buy a small cage, or perhaps a soft portable carrier...like this. https://www.amazon.com/dp/B09Z64Y3SD/ref=sspa_dk_detail_1?pd_rd_i=B0CCHW7VWL&pd_rd_w=buxP1&content-id=amzn1.sym.30062d3d-2c31-47f3-af26-55177a669bb5&pf_rd_p=30062d3d-2c31-47f3-af26-55177a669bb5&pf_rd_r=Y5T3KKS7SA15FJP4R6KP&pd_rd_wg=OSUb7&pd_rd_r=c5c6ac6d-b2ea-4d1e-9981-b78619daf1ee&sp_csd=d2lkZ2V0TmFtZT1zcF9kZXRhaWxfdGhlbWF0aWM&th=1

Just want to make sure it's safe. I already have suitable blankets and a heating pad. Thanks so much!