I commute in on my bike to central london daily, well not for a while but will do again some day. Suit trousers were always fine under my textiles or my hood jeans. I keep my jackets in the office. I don't really need it unless I'm meeting clients so one day I brought them in and they just hang there now. Shirts are the hard part. If you're on a sports bike and leaning over it can get creased quicker than a naked. If you can, buy non iron shirts bit do iron them. Non iron shirts used to feel terrible. (Before office jobs was a drycleaner) Tm lewin, CT shirts, Hawes &Curtis etc all do them and they are nice to wear. After the commute the shirt will have some creases but your body heat will smooth these out in an hour. Just make sure your jacket isnt too tight as it will wrinkle a lot then. Finally, once you have a job you could get them washed and ironed in a shop close to your office. Commute in a tshirt and change when you arrive in. Final final option. Store an iron in your office if you can. A bank I worked for had one in the back. It was great, if not a bit odd