Here is the 7110.65 guidance...
7-4-3. CLEARANCE FOR VISUAL APPROACH
ARTCCs and approach controls may clear aircraft for visual approaches using the following procedures:
Towers may exercise this authority when authorized by a LOA with the facility that provides the IFR service, or by a facility directive at collocated facilities.
a. Controllers may initiate, or pilots may request, a visual approach even when an aircraft is being vectored for an instrument approach and the pilot subsequently reports:
1. The airport or the runway in sight at airports with operating control towers.
2. The airport in sight at airports without a control tower.
b. Resolve potential conflicts with all other aircraft, advise an overtaking aircraft of the distance to the preceding aircraft and speed difference, and ensure that weather conditions at the airport are VFR or that the pilot has been informed that weather is not available for the destination airport. Upon pilot request, advise the pilot of the frequency to receive weather information where AWOS/ASOS is available.
(Ident) (instructions) CLEARED VISUAL APPROACH RUNWAY (number);
(ident) (instructions) CLEARED VISUAL APPROACH TO (airport name)
(and if appropriate)
WEATHER NOT AVAILABLE OR VERIFY THAT YOU HAVE THE (airport) WEATHER.
FAAO 7110.65, Visual Separation, Para 7-2-1.
c. Clear an aircraft for a visual approach when:
1. The aircraft is number one in the approach sequence, or
2. The aircraft is to follow a preceding aircraft and the pilot reports the preceding aircraft in sight and is instructed to follow it, or
The pilot need not report the airport/runway in sight.
3. The pilot reports the airport or runway in sight but not the preceding aircraft. Radar separation must be maintained until visual separation is provided.
d. All aircraft following a heavy jet/B757 must be informed of the airplane manufacturer and model.
"Cessna Three Four Juliet, following a Boeing 757, 12 o'clock, six miles."
e. Inform the tower of the aircraft's position prior to communications transfer at controlled airports. ARTS/STARS functions may be used provided a facility directive or LOA specifies control and communication transfer points.
f. In addition to the requirements of para 7-4-2, Vectors for Visual Approach, and subparas a, b, c, d, and e, ensure that the location of the destination airport is provided when the pilot is asked to report the destination airport in sight.
g. In those instances where airports are located in close proximity, also provide the location of the airport that may cause the confusion.
"Cessna Five Six November, Cleveland Burke Lakefront Airport is at 12 o'clock, 5 miles. Cleveland Hopkins Airport is at 1 o'clock 12 miles. Report Cleveland Hopkins in sight."
FAAO 7110.65, Approaches to Multiple Runways, Para 7-4-4.