A lawyer regulated by the Law Society of Saskatchewan typically coordinates both closings on the same file, and a short-term bridge loan through your lender can cover the gap in funds if your purchase closes before your sale does, though it carries its own interest cost.
The riskier version of this is buying first with no sale conditions in a market where your current home has not sold yet, since carrying two mortgages even briefly adds real cost and pressure to accept a lower offer just to close the timeline.
Knowing your realistic sale price before you start shopping removes most of the guesswork, since it tells you exactly what budget and possession flexibility you actually have to work with. Get your hand-reviewed valuation from Joel Dyck.