Changes to restrictions were made after the Scottish government was satisfied the virus is under control, and the R rate of infection is consistently below one.
However, despite a number of relaxations, some measures will still remain in place until a later date, with Nicola Sturgeon stressing the country must still exercise “care and caution”.
But what do rules in Scotland say about how far you can travel from home?
How far am I allowed to travel?
Ms Sturgeon has announced that the current restriction which stipulates Scots must not travel more than five miles for leisure or recreational purposes, unless it is to visit family or friends, will be lifted on 3 July.
Announcing the update in the Scottish Parliament on 24 June, Ms Sturgeon urged peple not to travel unnecessarily and recommended people avoided travelling to crowded places.
At present, Scots must still continue to stay in the local area as much as possible and keep travel distances to a maximum of five miles, until the new rules come into force on 3 July,
Home working should also still remain the norm whenever possible.
What are the rules for the rest of the UK?
These are the rules on travel across the rest of the UK:
People in England can take unlimited amounts of outdoor exercise and play sports, but only with members of theirs or one other household at a time, in groups of no more than six.
Visiting and sunbathing in local parks is also allowed, along with outdoor picnics, providing social distancing guidelines are followed.
Driving to other destinations for day trips is allowed.
Face coverings must be worn on all forms of public transport.
Private gardens are also now allowed to be used as meeting spots, but visitors must avoid entering the house until rules are relaxed on 4 July.
It is permitted to drive to do your daily exercise providing you have a reasonable reason for needing to do so for that type of exercise.
This could include driving to a safe open space for walking close to your home.
Welsh government guidance states that you shouldn’t drive to exercise unless it is absolutely necessary.
Instead, exercise should be taken in your local area and “as close as possible to the home”.
However, there is recognition that people with specific health or mobility issues may need to travel further than the area around their home to be able to exercise.
What are the fines for flouting the rules?
Police officers have the power to stop and ask you where you are heading.
If they do not believe your reason for travel falls within what is considered ‘reasonable’ for leaving your home, you could be faced with a fine.
Those who ignore the restrictions on movement could land an initial fine of £30, rising to unlimited fines for non-compliance.
In England, fines for breaching coronavirus regulations will rise from £60 to £100, while payment of the fine within 14 days will reduce the sum to £50, up from the present £30.
Repeat offenders will see the fine double for each subsequent breach to a maximum of £3,200.
Refusing to provide police with a name and address to avoid being given a fine is an arrestable offence.
The Home Office said: “If an individual continues to refuse to comply, they will be acting unlawfully, and the police may arrest them where deemed proportionate and necessary.
“However, in the first instance, the police will always apply their common sense and discretion.”