I work as a consultant and when my client requires me to travel I pay for my airfare and accommodation, which they reimburse (it is not invoiced) and then they give me a per diem for meals. 

Due to the locations I go to cash is usually the only method of payment so I typically withdraw cash in the local currency and then use that to pay for food.  If I need extra then I use my business card which shows up on my account.

So questions:

I pay for my own airfare (e.g $1,000) and accomm (e.g. $500), these receipts are reimbursed and I do not invoice, just send receipts. How do I show this expenditure and then the incoming money?

I receive a per diem for meals, this is not invoiced, it is just sent (e.g. $500) and when I land in the country I withdraw most of this (e.g. $400) to spend on meals as necessary.

If I need more then I use my card, which then shows on my account (e.g. $100).

Sorry for the many questions but I am new to the consultancy game and this was my first travel.